Design of Anti-impact Structure with Novel Star-shaped Negative Poisson’s Ratio and Research on Water-entry Impact

doi:10.12382/bgxb.2022.1212

Abstract

Abstract:

To solve the problem that the trans-media flight vehicle will be subjected to large impact load in the process of entering water, a topology optimization design method for anti-impact structure with of negative Poisson’s ratio based on engineering requirements is proposed. A star-quadrangular honeycomb (SQH) structure with negative Poisson’s ratio which meets the requirements of impact resistance is obtained by adding the elastic modulus and Poisson’s ratio into the objective function of topology optimization design. Based on the theoretical analysis model of SQH structure, the analytical formula of plateau stress under impact load is deduced and verified by numerical simulation. Compared with the specific energy absorption of star-circle honeycomb (SCH) and other negative Poisson’s ratio structures, the specific energy absorptions of SQH structure under low-speed, medium-speed and high-speed impact are 28.74%, 45.2% and 7.03% higher than that of SCH structure, respectively. Through the fluid-solid coupling simulation analysis, the designed SQH sandwich structure is studied for load reduction by water- entry impact, and the influence of the main size parameters of SQH sandwich structure on the impact characteristics of water entry is further discussed. The results show that, within the allowable range of size, the increase in the inclination angle and wall thickness of SQH unit will reduce the peak acceleration of the structure and the transformation of kinetic energy into the deformation energy of the structure, which verifies the effectiveness of the negative Poisson’s ratio structure topology optimization design for engineering requirements.

Key words: trans-media flight vehicle, negative Poisson’s ratio, topology optimization, energy absorption, plateau stress

CLC Number:

TJ630.3

JIN Zehua, LIU Qingyang, MA Wenchao, MENG Junhu. Design of Anti-impact Structure with Novel Star-shaped Negative Poisson’s Ratio and Research on Water-entry Impact[J]. Acta Armamentarii, 2024, 45(5): 1497-1513.

Figures/Tables 29

Fig.1 In-plane impact stress-strain curve of honeycomb structure with negative Poisson’s ratio

Fig.2 Topology optimization of anti-impact structures with negative Poisson ratio

Fig.3 Schematic diagram of SQH structure

Fig.4 Collapse mode of SQH cell under low-velocity impact

Fig.5 Collapse mode of SQH cell under high-velocity impact

Fig.6 SQH structure finite element model

Table 1 Aluminum alloy matrix material parameters

参数	数值
杨氏模量/GPa	68.2
密度/(kg·m^-3)	2700
屈服应力/MPa	80
泊松比	0.3

Fig.7 Comparison of stress-strain curves of SSH verification and reference models

Fig.8 Deformation modes of SQH structure at different impact velocities

Fig.9 Stress-strain curves of SQH structure at different impact velocities

Table 2 Plateau stresses of SQH structure at different impact velocities

冲击速度/ (m·s^-1)	平台应力/MPa		相对误差/%
冲击速度/ (m·s^-1)	理论计算	数值模拟	相对误差/%
1	1.472	1.548	-4.91
5	1.786	1.879	-4.95
70	5.017	5.255	-4.53
80	6.142	6.451	-4.79

Fig.10 SEA-strain curves of SQH structure at different impact velocities

Table 3 Comparison of SEAs of SQH structure and SCH structure

冲击速度/ (m·s^-1)	冲击比吸能
冲击速度/ (m·s^-1)	U_M-SQH/ (kJ·kg^-1)	U_M-SCH/ (kJ·kg^-1)	(U_M-SQH-U_M-SCH)/ U_M-SCH/%
1	1.904	1.479	28.74
30	5.666	3.907	45.02
100	12.551	11.727	7.03

Table 4 Comparison of SEAs of SQH structure and other structures with negative Poisson’s ratio

冲击比吸能	U_M-SQH/ (kJ·kg^-1)	U_M-SSH/ (kJ·kg^-1)	U_M-SAH/ (kJ·kg^-1)	U_M-STH/ (kJ·kg^-1)	U_M-RSH/ (kJ·kg^-1)	U_M-SH/ (kJ·kg^-1)	U_M-RH/ (kJ·kg^-1)
低速/(1m·s^-1)	1.904	0.682	0.584	1.104	0.427	0.526	0.233
中速/(30m·s^-1)	5.666	1.508	0.612	1.619	0.560	0.831	0.334
高速/(100m·s^-1)	12.551	10.914	1.690	10.821	4.349	10.146	2.642

Table 5 Material parameters of air and water

材料	ρ/(kg·m^-3)	动力黏度μ/(Pa·s)
空气	1.29	1.79×10^-5
水	10³	1.01×10^-3

Table 6 SQH sandwich structure unit cell size

参数	数值
l₁/mm	2.6
l₂/mm	2.0
l₃/mm	3.1
l₄/mm	3.2
t/mm	0.3
α/(°)	45
θ₁/(°)	20
θ₂/(°)	22.5
L₀/mm	9.7
H₀/mm	9.7

Fig.11 SQH sandwich structure model

Fig.12 Variation curves of water entry acceleration of honeycomb structure in the case of different grid sizes

Fig.13 Comparison of displacements of upper and lower panels of honeycomb verification model and reference model

Fig.14 Computational domain and mesh genertion of finite element model of SQH sandwich structure

Fig.15 Stress nephogram of SQH sandwich structure at each water entry time

Fig.16 Water-entry impact characteristics of SQH structure

Fig.17 Deformation diagram of upper and lower panels of SQH sandwich structure

Fig.18 Acceleration-time curves of SQH sandwich structures with different concave angles

Fig.19 Kinetic energy-time curves of SQH sandwich structures with different concave angles

Fig.20 Displacement curves of upper and lower panels of SQH structure with different concave angles

Fig.21 Acceleration-time curves of SQH sandwich structures with different wall thicknesses

Fig.22 Kinetic energy-time curves of SQH sandwich structures with different wall thicknesses

Fig.23 Displacement curves of upper and lower panels of SQH structures with different wall thicknesses

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